During the graduate period, the results of the "Four World Mathematics Journal", how did he do it?| Academic Star

Author:Fudan University Time:2022.06.20

Editor

Recently, the thirteenth "Academic Star" special prize response to Fudan University ended successfully. Ten candidates from the field of science and engineering in the cultural society launched a fierce competition. After reviewing the guests on the spot, 5 of them stood out and eventually won the prize.

Ethics and thoughts, they have inherited the fine academic tradition of Fudan and climbed the peak of academic research; youth is promising, and he has no regrets. They do not forget the ideals and beliefs of scientific research to report to the country and achieve a group of high -level scientific research results. Today, let's walk into the 13th "Academic Star" special prize winner of Fudan University, Ren Haojie, a doctoral student of the 2020s of the School of Mathematics.

Continue to approach more complete mathematical truth

"Catch all the sheep in the sheep bar"

It is the winner of the "Academic Star" special prize this year

Ren Haojie, a doctoral student at the School of Mathematics and Science

Scientific research attitude

His first subject in Fudan

Successfully solved the dimension of the Weierstras -type function

The paper written with the mentor Shen Weixiao was included in

Known as the "Four World Mathematics Journal"

"Inventiones Mathematicae)

During the epidemic

Ren Haojie still adheres to a regular life

Keep high self -discipline in scientific research as always

Challenge the mathematical problems after another!

To do basic research requires long -term self -discipline and maintain a positive attitude

Ren Haojie's desk

Most of the time under the epidemic, Ren Haojie was spent in studying thesis and repeated deductions. Different from other disciplines, basic mathematics research requires a person to adhere to "brainstorming" for several months or even years, and can resist loneliness and high self -discipline.

In order to ensure that the brain can operate efficiently during the day, Ren Haojie has always been highly self -disciplined and rarely breaks the biological clock. "Under normal circumstances, I go to bed at 11 o'clock every night, start at 7 in the morning, and I will sleep for half an hour after lunch to ensure the efficiency of the afternoon. Although I will not make a particularly detailed arrangement of the daily schedule, I am on each month. The research progress is expected. During the epidemic, I still work for 8 or 9 hours a day. Basically, I can let myself "swipe your phone 'before going to bed and relax."

Speaking of the impact of the epidemic on his daily scientific research, Ren Haojie said with a smile that due to the characteristics of basic mathematics research, he was not limited by space, maximizing the impact of the epidemic on scientific research. Regarding the requirements of "not leaving home", he is also accustomed to it. "I usually like to stay in front of the table and ponder the problem. It is several hours. It is precisely the state required for basic mathematics research. I can find a major that I love and suitable, I feel lucky. "

In early March, Ren Haojie spent more than a month. Based on the current research results of a subject, he carefully modified the dissertation. "When I changed the papers, it was not just the expression of the text, but to re -sort out my thinking. The change of thesis is also an important part of scientific research. When I sort out, I will find that there may be some errors in the past calculation proof. In addition to thinking about how to correct these errors, these errors may be used. I also need to consider how to present the lengthy and complicated proofs more clearly and straightforwardly. "Because the sudden epidemic interrupted the possibility of face -to -face communication, Ren Haojie and the instructor decided that after waiting for the epidemic to be stable, he continued to dig deep into the subject and obtain it to get it to get it to get it to get it to get it to get it to get it to get it to get it to get it to get it to get it to get it to get it. In the richer result, in Ren Haojie's words, he would "go to the sheeprace to catch more sheep" with his mentor.

Basic scientific research is a process that requires long -term accumulation and then accumulates. When Ren Haojie encourages students to maintain a positive mentality when conducting basic research. Since it is determined to do basic research, there must be a psychological preparation of "failure is commonplace". "I have to think about it every day. Do you have any knowledge and articles you want to learn? Believe that you will have results in the end of your efforts. After long -term accumulation, you may do better than others in the later period," Ren Haojie said.

Take the initiative for the ideal, and associate with the world -class mathematician of the power system

Like most people who love mathematics, Ren Haojie believes that mathematics is a magical language that allows people to explain the beauty of the complex world with the most concise expression. The study of the undergraduate stage made Ren Haoying determine the research path of basic mathematics. In 2018, he embraced the ideal of mathematics and admitted to the School of Mathematics Sciences of Fudan University, and began the graduate stage of study and research.

"At that time, I had already made up my mind to go on the field of basic mathematics, so I worked hard to find the research direction and mentor I was interested in from the beginning." On the summer vacation before entering the school, Ren Haojie asked his friends around The mentor of Fudan analyzed the direction, and my friends recommended him Professor Shen Weixiao of the world -class mathematician in the power system. So, with a sorrowful mood, he sent an email to Teacher Shen to get an invitation to enter the school and passed smoothly.

"When I first entered the school, I was still in the" inspection 'stage. Although it was not a formal disciple', I could go to Teacher Shen's one -on -one discussion class every week. I feel very happy, and I dare not relax in learning. "One month after entering the school, according to Teacher Shen Weixiao's suggestion, Ren Haojie began to try to study fractal geometry with power system methods and use it as a future scientific research direction.

There is suffering to have sweetness, and the opportunity is only left to those who are prepared

At the beginning of the second semester, Ren Haojie's first report article was about to enter the school. I did not expect that Teacher Shen chose a fractal geometric paper published in the latest "Four Mathematics Journal". Ren Haojie is a huge challenge. "There are more than 50 pages of that papers, there are many new symbols that make me unfamiliar, and the method of random matrix and additional combinations. I have studied for several months before I put all the knowledge points in this paper all the knowledge points in this paper all the knowledge points in all the papers. "下 '' down." When Ren Haojie was finally able to "understand" this article, Teacher Shen asked him to give a simplified proof of a special example, so it took half a year, and finally thought of a segmentation alternative Find a clever way to turn the amount of transition.

It is often said that opportunities only favors those who are prepared. This "painful" experience also laid an important research foundation for Ren Haojie's first "World Mathematical Four Journals" article in his life.

Classic Weierstras function image

Since the birth of the division geometry, the WeiersStrass function has always been the research object of the attention of mathematicians. The calculation of the HAUSDORFF dimension of its image is also a very difficult problem for the discipline of fractal geometry for many years. Experts have failed. Ren Haojie did not expect that the first topic of the instructor gave himself the HAUSDORFF dimension that analyzed the Weiertras -type function image corresponding to the cycle function. After starting to conduct research, he was surprised to find that in the past year of fighting with the "reading papers", he accumulated a lot of methods and ideas worth trying to try a wide range of Weiertras functions. A few months later, Ren Haojie had preliminary research results. With the efforts with Teacher Shen, they quickly got a general judgment condition and eventually completely solved the problem.

Once the results were announced, it attracted widespread attention internationally. Ren Haoche also published the first "Four Mathematical Journal" thesis in his life in "Inventiones Mathematicae "-" Weierlas Style Type " "A Dichotomy for The WeiersSS-Type Functions" ("A Dichotomy For The Weierstras-Type Functions").

With the habit and ability of independent scientific research, you can transform into a real mathematical worker

When studying more complicated problems, Ren Haoche often wrote four or five notebooks

Every time I spent a lot of effort, when I reported to the instructor that it was difficult to get to the instructor, Ren Haojie was constantly requested by Teacher Shen to improve it, so as to be "perfect". "I realized from Teacher Shen's body what is‘ mathematician craftsman spirit ’. Every time I take a small step forward, I actually experience the transformation after repeated thinking for a long time,” Ren Haojie said.

After successfully completing the first topic, Ren Haojie felt that the subsequent topics were getting more and more difficult, and the effort was doubled. In the past four years, the tutor has also tapped the potential of Ren Haojie when he arranged the task. Ren Haojie has trained the ability of independent thinking through the first subject, and has cultivated the ability to solve problems independently through the second subject. Now, in response to the third subject, the instructor further demanded that Ren Haojie "find an interesting problem and solve it independently."

"For half a year, I read the literature under great pressure every day, thought about learning day after day, and finally found a topic and made some results. Although this topic is not an interesting problem ' Let me have doubled confidence. After two months, I have the idea of a wide range of concerns about the power system field, and I barely meet the requirements of Teacher Shen on the 'good question'. "Now, Ren Haojie is still recovered day by day. One day strives to refine his independent scientific research ability.

During the four years of admission, Ren Haojie completed the transformation of scientific research again and again in Fudan. Ren Haojie has made up his mind to take basic mathematics research as a career pursuit of his life. In the future, Ren Haojie hopes to cooperate with mathematicians with more related fields at home and abroad. While maintaining an independent scientific attitude, he can expand his research methods and ideas.

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